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Finding the Third Proportional to 87,271 and 133,444

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Solution

The third proportional to 87,271 and 133,444 is: 204,046.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,271 : 133,444 = 133,444 : x
  2. Step 2: Convert to fraction form
    87,271/133,444 = 133,444/x
  3. Step 3: Cross multiply
    87,271x = 133,444 × 133,444
  4. Step 4: Simplify right side
    87,271x = 17,807,301,136
  5. Step 5: Solve for x
    x = 17,807,301,136/87,271
  6. Step 6: Final answer
    x = 204,046.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.